Probing ergodicity in granular matter

Paillusson, Fabien and Frenkel, Daan (2012) Probing ergodicity in granular matter. Physical Review Letters, 109 (20). ISSN 0031-9007

Preprint version
1210.5407v1.pdf - Whole Document

Item Type:Article
Item Status:Live Archive


When a granular system is tapped, its volume changes. Here, using a well-defined macroscopic protocol, we prepare an ensemble of granular systems and track the statistics of volume changes as a function of the number of taps. This is in contrast to previous studies, which have focused on single trajectories and assumed ergodicity. We devise a new method to assess the convergence properties of a sequence of ensemble volume histograms and introduce a reasonable approximate version of an invariant histogram. We then compare these invariant histograms with histograms generated by sampling a long trajectory for one system and observe nonergodicity, which we quantify. Finally, we use the overlapping histogram method to assess potential compatibility with Edwards’ canonical assumption. Our histograms are incompatible with this assumption.

Keywords:Granular Matter, Powders, Statistical mechanics
Subjects:F Physical Sciences > F200 Materials Science
F Physical Sciences > F300 Physics
G Mathematical and Computer Sciences > G340 Statistical Modelling
Divisions:College of Science > School of Mathematics and Physics
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ID Code:17978
Deposited On:09 Sep 2015 05:20

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